Transfer operators for coupled analytic maps
UNSPECIFIED. (2000) Transfer operators for coupled analytic maps. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 20 (Part 1). pp. 109-143. ISSN 0143-3857Full text not available from this repository.
We consider analytically coupled circle maps (uniformly expanding and analytic) on the Z(d)-lattice with exponentially decaying interaction. We introduce Banach spaces for the infinite-dimensional system that include measures whose finite-dimensional marginals have analytic, exponentially bounded densities. Using residue calculus and 'cluster expansion'-like techniques we define transfer operators on these Banach spaces. We get a unique (in the considered Banach spaces) probability measure that exhibits exponential decay of correlations.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Journal or Publication Title:||ERGODIC THEORY AND DYNAMICAL SYSTEMS|
|Publisher:||CAMBRIDGE UNIV PRESS|
|Official Date:||February 2000|
|Number of Pages:||35|
|Page Range:||pp. 109-143|
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